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672213517248 = 263713314792591
BaseRepresentation
bin10011100100000110000…
…11000100001111000000
32101021002201022211012010
421302003003010033000
542003143130022443
61232451032332520
766365035422510
oct11620303041700
92337081284163
10672213517248
1123a0a2007969
12aa342b44140
134b50a859c80
142476cc55840
151274496a733
hex9c830c43c0

672213517248 has 448 divisors, whose sum is σ = 2265207275520. Its totient is φ = 171143884800.

The previous prime is 672213517243. The next prime is 672213517259. The reversal of 672213517248 is 842715312276.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1128960) is a multiple of the sum of its prime factors (3136).

It is a junction number, because it is equal to n+sod(n) for n = 672213517197 and 672213517206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672213517243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259440433 + ... + 259443023.

It is an arithmetic number, because the mean of its divisors is an integer number (5056266240).

Almost surely, 2672213517248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672213517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132603637760).

672213517248 is an abundant number, since it is smaller than the sum of its proper divisors (1592993758272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

672213517248 is a wasteful number, since it uses less digits than its factorization.

672213517248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3126 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 672213517248 in words is "six hundred seventy-two billion, two hundred thirteen million, five hundred seventeen thousand, two hundred forty-eight".